Search a number
-
+
12123120689 is a prime number
BaseRepresentation
bin10110100101001100…
…00010010000110001
31011021212210100011222
423102212002100301
5144312004330224
65322544314425
7606264553121
oct132246022061
934255710158
1012123120689
115161205009
122424012a15
1311b2811cc4
1483010ac81
154ae490b5e
hex2d2982431

12123120689 has 2 divisors, whose sum is σ = 12123120690. Its totient is φ = 12123120688.

The previous prime is 12123120643. The next prime is 12123120697. The reversal of 12123120689 is 98602132121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9844013089 + 2279107600 = 99217^2 + 47740^2 .

It is an emirp because it is prime and its reverse (98602132121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12123120689 - 28 = 12123120433 is a prime.

It is not a weakly prime, because it can be changed into another prime (12123120389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061560344 + 6061560345.

It is an arithmetic number, because the mean of its divisors is an integer number (6061560345).

Almost surely, 212123120689 is an apocalyptic number.

It is an amenable number.

12123120689 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123120689 is an equidigital number, since it uses as much as digits as its factorization.

12123120689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 12123120689 in words is "twelve billion, one hundred twenty-three million, one hundred twenty thousand, six hundred eighty-nine".